51150400 has 84 divisors (see below), whose sum is σ = 143873728. Its totient is φ = 17533440.

The previous prime is 51150397. The next prime is 51150431. The reversal of 51150400 is 405115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8917 + ... + 13483.

Almost surely, 2^51150400 is an apocalyptic number.

51150400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71936864).

51150400 is an abundant number, since it is smaller than the sum of its proper divisors (92723328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51150400 is a wasteful number, since it uses less digits than its factorization.

51150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51150400 is about 7151.9507828284. The cubic root of 51150400 is about 371.2071602364.

Adding to 51150400 its reverse (405115), we get a palindrome (51555515).

The spelling of 51150400 in words is "fifty-one million, one hundred fifty thousand, four hundred".